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Finding the Fourth Proportional to 292.21, 402.54 and 237.30

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Solution

The fourth proportional to 292.21, 402.54 and 237.30 is: 326.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.21 : 402.54 = 237.30 : x
  2. Step 2: Convert to fraction form
    292.21/402.54 = 237.30/x
  3. Step 3: Cross multiply
    292.21x = 402.54 × 237.30
  4. Step 4: Simplify right side
    292.21x = 95,525.74
  5. Step 5: Solve for x
    x = 95,525.74/292.21
  6. Step 6: Final answer
    x = 326.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.